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Finding the Fourth Proportional to 76,194, 105,150.96 and 44,357.76

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Solution

The fourth proportional to 76,194, 105,150.96 and 44,357.76 is: 61,215.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,194 : 105,150.96 = 44,357.76 : x
  2. Step 2: Convert to fraction form
    76,194/105,150.96 = 44,357.76/x
  3. Step 3: Cross multiply
    76,194x = 105,150.96 × 44,357.76
  4. Step 4: Simplify right side
    76,194x = 4,664,261,047.45
  5. Step 5: Solve for x
    x = 4,664,261,047.45/76,194
  6. Step 6: Final answer
    x = 61,215.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.